{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook demonstrates the use of the CausalML implemented DR Learner by Kennedy (2020) (https://arxiv.org/abs/2004.14497) for the Individual Treatment Effect (ITE) estimation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "ename": "RuntimeError",
     "evalue": "module compiled against API version 0xe but this version of numpy is 0xd",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mRuntimeError\u001b[0m                              Traceback (most recent call last)",
      "\u001b[0;31mRuntimeError\u001b[0m: module compiled against API version 0xe but this version of numpy is 0xd"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The sklearn.utils.testing module is  deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.utils. Anything that cannot be imported from sklearn.utils is now part of the private API.\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "import statsmodels.api as sm\n",
    "from xgboost import XGBRegressor\n",
    "import warnings\n",
    "\n",
    "from causalml.inference.meta import BaseXRegressor, BaseDRRegressor\n",
    "from causalml.inference.iv import BaseDRIVRegressor\n",
    "from causalml.dataset import synthetic_data\n",
    "from causalml.metrics import *\n",
    "\n",
    "warnings.filterwarnings('ignore')\n",
    "plt.style.use('fivethirtyeight')\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Synthetic Data Generation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "y, X, treatment, tau, b, e = synthetic_data(mode=1, n=10000, p=8, sigma=1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Comparing DR Learner with X Learner"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use a flexible ML estimator to estimate the outcome model but a simple linear regression model to estimate the ITE, since the ITE estimate is often noisy and prone to overfit with a flexible estimator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "learner_x = BaseXRegressor(learner=XGBRegressor(), treatment_effect_learner=LinearRegression())\n",
    "cate_x = learner_x.fit_predict(X=X, treatment=treatment, y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "learner_dr = BaseDRRegressor(learner=XGBRegressor(), treatment_effect_learner=LinearRegression())\n",
    "cate_dr = learner_dr.fit_predict(X=X, treatment=treatment, y=y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DR Learner outforms X Learner in this dataset. Even with built-in mechanism to counteract the unbalancedness between the treatment and control samples, X Learner still suffers from the regime where the treatment probability is close to 1 in this case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'DR Learner')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(15, 6))\n",
    "ax[0].scatter(tau, cate_x)\n",
    "ax[0].plot(tau, tau, color='C2', linewidth=2)\n",
    "ax[0].set_xlabel('True ITE')\n",
    "ax[0].set_ylabel('Estimated ITE')\n",
    "ax[0].set_title('X Learner')\n",
    "ax[1].scatter(tau, cate_dr)\n",
    "ax[1].plot(tau, tau, color='C2', linewidth=2)\n",
    "ax[1].set_xlabel('True ITE')\n",
    "ax[1].set_ylabel('Estimated ITE')\n",
    "ax[1].set_title('DR Learner')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Synthetic Data with Hidden Confounder"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we tweaked the previous synthetic data generation by the following 2 changes\n",
    "- Adding a random assignment mechanism. Only assigned units may potentially have a treatment, though whether a unit gets treatment in the assigned group depends on its confounding variables. Therefore this is a situation of one-sided non-compliance.\n",
    "- One of the confounding variables that affects both the propensity to receive treatment and the treatment effect is not observed by analyst. Therefore it is a problem of hidden confounder."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 10000\n",
    "p = 8\n",
    "sigma = 1.0\n",
    "\n",
    "X = np.random.uniform(size=n*p).reshape((n, -1))\n",
    "b = np.sin(np.pi * X[:, 0] * X[:, 1]) + 2 * (X[:, 2] - 0.5) ** 2 + X[:, 3] + 0.5 * X[:, 4]\n",
    "assignment = (np.random.uniform(size=10000)>0.5).astype(int)\n",
    "eta = 0.1\n",
    "e = np.maximum(np.repeat(eta, n), np.minimum(np.sin(np.pi * X[:, 0] * X[:, 1]), np.repeat(1-eta, n)))\n",
    "e[assignment == 0] = 0\n",
    "tau = (X[:, 0] + X[:, 1]) / 2\n",
    "X_obs = X[:, [i for i in range(8) if i!=1]]\n",
    "\n",
    "w = np.random.binomial(1, e, size=n)\n",
    "treatment = w\n",
    "y = b + (w - 0.5) * tau + sigma * np.random.normal(size=n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Comparing X Learner, DR Learner, and DRIV Learner"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use 3 learners, X Learner, DR Learner, and DRIV Learner, to estimate the ITE of the compliers, i.e. those who only receive treatment when they are assigned. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "learner_x = BaseXRegressor(learner=XGBRegressor(), treatment_effect_learner=LinearRegression())\n",
    "cate_x = learner_x.fit_predict(X=X_obs, treatment=treatment, y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "learner_dr = BaseDRRegressor(learner=XGBRegressor(), treatment_effect_learner=LinearRegression())\n",
    "cate_dr = learner_dr.fit_predict(X=X_obs, treatment=treatment, y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "learner_driv = BaseDRIVRegressor(learner=XGBRegressor(), treatment_effect_learner=LinearRegression())\n",
    "cate_driv = learner_driv.fit_predict(X=X_obs, assignment=assignment, treatment=treatment, y=y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We continue to see that X Learner generates a noisier ITE estimate than DR Learner, though both of them have a upward bias. But DRIV Learner is able to alleviate the bias significantly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'DRIV Learner')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 3, figsize=(15, 6))\n",
    "ax[0].scatter(tau[treatment==1], cate_x[treatment==1])\n",
    "ax[0].plot(tau[treatment==1], tau[treatment==1], color='C2', linewidth=2)\n",
    "ax[0].set_xlabel('True ITE')\n",
    "ax[0].set_ylabel('Estimated ITE')\n",
    "ax[0].set_title('X Learner')\n",
    "ax[1].scatter(tau[treatment==1], cate_dr[treatment==1])\n",
    "ax[1].plot(tau[treatment==1], tau[treatment==1], color='C2', linewidth=2)\n",
    "ax[1].set_xlabel('True ITE')\n",
    "ax[1].set_ylabel('Estimated ITE')\n",
    "ax[1].set_title('DR Learner')\n",
    "ax[2].scatter(tau[treatment==1], cate_driv[treatment==1])\n",
    "ax[2].plot(tau[treatment==1], tau[treatment==1], color='C2', linewidth=2)\n",
    "ax[2].set_xlabel('True ITE')\n",
    "ax[2].set_ylabel('Estimated ITE')\n",
    "ax[2].set_title('DRIV Learner')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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